2011
DOI: 10.1007/s00477-011-0533-1
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Managing water resources system in a mixed inexact environment using superiority and inferiority measures

Abstract: A superiority-inferiority-based fuzzy-stochastic integer programming (SI-FSIP) method is developed for water resources management under uncertainty. In the SI-FSIP method, techniques of fuzzy mathematical programming with the superiority and inferiority measures and joint chance-constrained programming are integrated into an inexact mixed integer linear programming framework. The SI-FSIP improves upon conventional inexact fuzzy programming by directly reflecting the relationships among fuzzy coefficients in bo… Show more

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Cited by 16 publications
(5 citation statements)
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References 45 publications
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“…A chance constraint programming model includes groups of constraints, which do not need to be satisfied in all possible future scenarios. Decision-makers specify the probabilities with which constraints are satisfied individually [74,75,108,110,135,171,172,203,234] or jointly [72,73,119,137,228,231,244]. Closely related to this approach, Dong et al [44] propose a stochastic programming model with two objectives: maximising system benefits and maximising the probability that the constraints are satisfied.…”
Section: Water Allocationmentioning
confidence: 99%
“…A chance constraint programming model includes groups of constraints, which do not need to be satisfied in all possible future scenarios. Decision-makers specify the probabilities with which constraints are satisfied individually [74,75,108,110,135,171,172,203,234] or jointly [72,73,119,137,228,231,244]. Closely related to this approach, Dong et al [44] propose a stochastic programming model with two objectives: maximising system benefits and maximising the probability that the constraints are satisfied.…”
Section: Water Allocationmentioning
confidence: 99%
“…The Superiority and Inferiority Ranking (SIR) technique was introduced by Xu (2001). Lv et al (2012) indicated that the SIR method is considered an outranking method generalized for superiority and inferiority score notation taking into consideration the difference between types of generalized criteria and criteria values. This technique can also deal with data of different units and inexact environments.…”
Section: Multiple Criteria Decision-makingmentioning
confidence: 99%
“…Starting from (27), we argue that the resource will deplete in time interval [T ,T ] if and only if there…”
Section: Assumption 2 S Is a Spatial Mixed Poisson Process (Smpp) Wimentioning
confidence: 99%